Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 9.6 miles and b = 2.6 miles, what is the perimeter? if necessary, round to the nearest tenth. miles

Explanation:

Step1: Find hypotenuse length

By Pythagorean theorem $c=\sqrt{a^{2}+b^{2}}$, where $a = 9.6$ and $b = 2.6$. So $c=\sqrt{9.6^{2}+2.6^{2}}=\sqrt{92.16 + 6.76}=\sqrt{98.92}\approx9.946$.

Step2: Calculate perimeter

Perimeter $P=a + b + c$. Substitute $a = 9.6$, $b = 2.6$ and $c\approx9.946$. Then $P=9.6+2.6 + 9.946=22.146$.

Step3: Round to nearest tenth

Rounding $22.146$ to nearest tenth gives $22.1$.

Answer:

$22.1$